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10100031324 = 22319611794057
BaseRepresentation
bin10010110100000001…
…00011111101011100
3222001212222202022020
421122000203331130
5131141102000244
64350114420140
7505200564315
oct113200437534
928055882266
1010100031324
114313228029
121b5a591650
13c4c6422c6
146bb56160c
153e1a6bd19
hex25a023f5c

10100031324 has 96 divisors (see below), whose sum is σ = 25360876800. Its totient is φ = 3118901760.

The previous prime is 10100031323. The next prime is 10100031341. The reversal of 10100031324 is 42313000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100031323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2487504 + ... + 2491560.

It is an arithmetic number, because the mean of its divisors is an integer number (264175800).

Almost surely, 210100031324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100031324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680438400).

10100031324 is an abundant number, since it is smaller than the sum of its proper divisors (15260845476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100031324 is a wasteful number, since it uses less digits than its factorization.

10100031324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10100031324 its reverse (42313000101), we get a palindrome (52413031425).

The spelling of 10100031324 in words is "ten billion, one hundred million, thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 179 183 228 244 358 366 537 716 732 1074 1159 2148 2318 3401 3477 4057 4636 6802 6954 8114 10203 10919 12171 13604 13908 16228 20406 21838 24342 32757 40812 43676 48684 65514 77083 131028 154166 207461 231249 247477 308332 414922 462498 494954 622383 726203 742431 829844 924996 989908 1244766 1452406 1484862 2178609 2489532 2904812 2969724 4357218 4702063 8714436 9404126 13797857 14106189 18808252 27595714 28212378 41393571 44298383 55191428 56424756 82787142 88596766 132895149 165574284 177193532 265790298 531580596 841669277 1683338554 2525007831 3366677108 5050015662 10100031324